General approach to microscopic-type sets

DOI10.1016/J.JMAA.2018.01.007zbMath1384.28002OpenAlexW2783290237MaRDI QIDQ1706341

Grażyna Horbaczewska

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.007

zbMATH Keywords

Hausdorff dimensionfractalsnull setsmicroscopic sets

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)

Related Items (3)

On some generic small Cantor spaces ⋮ Remarks on some generalization of the notion of microscopic sets ⋮ Families of symmetric Cantor sets from the category and measure viewpoints

Cites Work

• Additivity of the ideal of microscopic sets
• Homeomorphisms of linear and planar sets of the first category into microscopic sets
• Nowhere monotone functions and microscopic sets
• Ideal-like properties of generalized microscopic sets
• Some remarks on small sets
• A generalization of the notion of microscopic sets
• Fubini Property for Microscopic Sets
• Microscopic Sets with Respect to Sequences of Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: General approach to microscopic-type sets